Prime p₀= 2066081605314077957 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 70 2 28 2 76 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 180 182 210 212 282 284
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 284
Found by: Landjunge
db: batch=80, k=12, 2 70 2 28 2 76

SPT(16)	2066080025626643387	0 12 26 30 44 62 86 162 194 270 294 312 326 330 344 356	-1579687434570
STPT(10)	2066080341816582977	0 2 12 14 72 74 132 134 144 146	-1263497494980
SPT(16)	2066080683103734347	0 56 84 120 200 240 246 254 276 284 290 330 410 446 474 530	-922210343610
SPT(16)	2066080722485783587	0 6 12 24 82 112 136 150 166 180 204 234 292 304 310 316	-882828294370
TPT(14)	2066080770932836871	0 2 36 38 168 170 210 212 276 278 300 302 306 308	-834381241086
SPT(16)	2066081048055163801	0 30 46 70 100 112 126 142 156 172 186 198 228 252 268 298	-557258914156
SPT(16)	2066081947264448549	0 2 18 38 50 78 104 120 212 228 254 282 294 314 330 332	341950370592
SPT(16)	2066082092609524273	0 6 34 36 70 84 100 126 148 174 190 204 238 240 268 274	487295446316
STPT(10)	2066082253889768087	0 2 30 32 42 44 54 56 84 86	648575690130
SPT(16)	2066082401671949119	0 12 42 64 180 208 238 274 348 384 414 442 558 580 610 622	796357871162
TPT(14)	2066082487771364747	0 2 84 86 102 104 114 116 222 224 234 236 312 314	882457286790